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Finding the Third Proportional to 118,746.75 and 242,328.75

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Solution

The third proportional to 118,746.75 and 242,328.75 is: 494,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,746.75 : 242,328.75 = 242,328.75 : x
  2. Step 2: Convert to fraction form
    118,746.75/242,328.75 = 242,328.75/x
  3. Step 3: Cross multiply
    118,746.75x = 242,328.75 × 242,328.75
  4. Step 4: Simplify right side
    118,746.75x = 58,723,223,076.56
  5. Step 5: Solve for x
    x = 58,723,223,076.56/118,746.75
  6. Step 6: Final answer
    x = 494,524.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.